Question 916496
You can make some sensible trials and test each to find if a factorization will work.  If that becomes a long process, you can use more advanced a method.


Study this good piece of instruction:
<a href="http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev</a>
IF THE HYPERLINK DOES NOT WORK, VISIT THIS ADDRESS USING IT IN THE ADDRESS FIELD OF YOUR BROWSER:
http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev


Use the equation in its equivalent form of {{{8x^2+10x-3=0}}}.


The lesson referenced also gives the general solution of a quadratic equation.
{{{x=(-10+- sqrt(10^2-4*8*(-3)))/(2*8)}}}
{{{x=(-10+- sqrt(100+96))/(2*8)}}}
{{{x=(10+- sqrt(196))/(2*8)}}}
{{{x=(-10+- 14)/(2*8)}}}
{{{x=(-5+- 7)/8}}}
{{{highlight(x=-3/2)}}}  OR  {{{highlight(x=1/4)}}}